Action of a scattering map on weighted Sobolev spaces in the plane

Autor:	Brown, R. M., Ott, K. A., Perry, P. A.
Rok vydání:	2015
Předmět:	Mathematics - Analysis of PDEs 35P25
Druh dokumentu:	Working Paper
Popis:	We consider a scattering map that arises in the $\bar \partial $-approach to the scattering theory for the Davey-Stewartson II equation and show that the map is an invertible map between certain weighted $L^2$ Sobolev spaces. Comment: The appendix is by R.M. Brown and N. Serpico. Version 2--minor corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1501.04669 Zobrazit plný text záznamu View this record from Arxiv